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Factorize : a^(3) + b^(3) + 3ab -1...

Factorize : `a^(3) + b^(3) + 3ab -1`

A

`(a + b-1) (a^(2) + b^(2) + a + b +1 -ab)`

B

`(a +b -1) (a^(2) + b^(2) + a + b -1 + ab)`

C

`(a +b -1) (a^(2) + b^(2) -a - b+ 1 + ab)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`a^(3) +b^(3) + 3ab -1`
`= a^(3) +b^(3) + (-1)^(3) -3 . A. b(-1)`
`= (a +b -1) (a^(2) +b^(2) +1 - ab + b +a)`
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